Basic phonon Fit for 0.26 LV

Generated on: 2025-07-25 12:54:48

Data set description

Beamtime session: HC-6093 Data file name: Online_analysis_EuLSCO_26_1_B_big_CDW_25K_andor1.spec Sample: Eu_LSCO p=0.26 Polarization: LV Temperature: 25 K counting time of each spectrum: 1200 seconds resolution: 0.052 eV

Model 1: 3 Gaussians Description

Model description

The model is a sum of three Gaussian functions:

Individual Components

1. Elastic Peak (First Gaussian)

where $\sigma_1 = \frac{\text{FWHM}_1}{2\sqrt{2\ln(2)}}$

2. Phonon Peak (Second Gaussian)

where $\sigma_2 = \frac{\text{FWHM}_2}{2\sqrt{2\ln(2)}}$

3. Magnon Peak (Third Gaussian)

where $\sigma_3 = \frac{\text{FWHM}_3}{2\sqrt{2\ln(2)}}$

Below are the constraints for the parameters:

Parameter Value
x0_1 [-0.100, 0.100] eV
A_1 [0, 10] a.u.
res_1 [0.052, 0.062] eV
x0_2 [0.000, 0.200] eV
A_2 [0, 10] a.u.
res_2 [0.052, 0.062] eV
x0_3 [0.060, 0.600] eV
A_3 [0, 10] a.u.
res_3 [0, 10] eV

Figures

The Model 1: 3 Gaussians fit results

The Model 1: 3 Gaussians fit results

The Model 1: 3 Gaussians phonon dispersion

The Model 1: 3 Gaussians phonon dispersion

The Model 1: 3 Gaussians phonon intensities

The Model 1: 3 Gaussians phonon intensities

Model 2: 4 Gaussians (Fixed Resolution) Description

Model 2 description

The model is a sum of four Gaussian functions:

Note: The elastic peak center is a free parameter constrained between -0.01 and +0.01 eV, with resolution fixed at 0.052 eV. The resolution (FWHM) for both phonon peaks is also fixed at 0.052 eV, while the magnon peak resolution remains a fitted parameter.

Below are the constraints for the parameters:

Parameter Value
x0_1 [-0.010, 0.010] eV
A_1 [0, 10] a.u.
x0_2 [0.000, 0.050] eV
A_2 [0.000, 0.300] a.u.
x0_3 [0.060, 0.100] eV
A_3 [0, 10] a.u.
x0_4 [0.100, 0.600] eV
A_4 [0, 10] a.u.
res_4 [0, 10] eV

Figures

The Model 2: 4 Gaussians (Fixed Resolution) fit results

The Model 2: 4 Gaussians (Fixed Resolution) fit results

The Model 2: 4 Gaussians (Fixed Resolution) phonon dispersion

The Model 2: 4 Gaussians (Fixed Resolution) phonon dispersion

The Model 2: 4 Gaussians (Fixed Resolution) phonon intensities

The Model 2: 4 Gaussians (Fixed Resolution) phonon intensities

Model 3: 2 Gaussians + DHO Description

Model 3 description

The model is a sum of two Gaussian functions and one convolved DHO function:

3. Magnon Peak (Convolved DHO)

The magnon peak is modeled using a damped harmonic oscillator (DHO) function convolved with a Gaussian resolution function.

Below are the constraints for the parameters:

Parameter Value
x0_1 [-0.100, 0.100] eV
A_1 [0, 10] a.u.
res_1 [0.052, 0.062] eV
x0_2 [0.000, 0.200] eV
A_2 [0, 10] a.u.
res_2 [0.052, 0.062] eV
x0_3 [0.060, 0.600] eV
A_3 [0, 10] a.u.
res_3 [0, 10] eV

Figures

The Model 3: 2 Gaussians + DHO fit results

The Model 3: 2 Gaussians + DHO fit results

The Model 3: 2 Gaussians + DHO phonon dispersion

The Model 3: 2 Gaussians + DHO phonon dispersion

The Model 3: 2 Gaussians + DHO phonon intensities

The Model 3: 2 Gaussians + DHO phonon intensities

Model 4: 3 Gaussians + DHO (Fixed Resolution) Description

Model 4 description

The model is a sum of three Gaussian functions and one convolved DHO function:

Note: The elastic peak center is a free parameter constrained between -0.01 and +0.01 eV, with resolution fixed at 0.052 eV. The resolution (FWHM) for both phonon peaks is also fixed at 0.052 eV. The DHO function is convolved with a Gaussian resolution function fixed at 0.052 eV.

Below are the constraints for the parameters:

Parameter Value
x0_1 [-0.010, 0.010] eV
A_1 [0, 10] a.u.
x0_2 [0.000, 0.055] eV
A_2 [0.000, 0.350] a.u.
x0_3 [0.060, 0.100] eV
A_3 [0, 10] a.u.
x0_4 [0.100, 0.600] eV
A_4 [0, 10] a.u.
res_4 [0, 10] eV

Figures

The Model 4: 3 Gaussians + DHO (Fixed Resolution) fit results

The Model 4: 3 Gaussians + DHO (Fixed Resolution) fit results

The Model 4: 3 Gaussians + DHO (Fixed Resolution) phonon dispersion

The Model 4: 3 Gaussians + DHO (Fixed Resolution) phonon dispersion

The Model 4: 3 Gaussians + DHO (Fixed Resolution) phonon intensities

The Model 4: 3 Gaussians + DHO (Fixed Resolution) phonon intensities